Main /
## References## Talk slides- Infinite DMRG and the Matrix Product Toolkit. This is a good starting point for learning about the iMPS tools. idmrg-intro.pdf
- Talk given at the Fourth Workshop on Tensor Network States: Algorithms and Applications, Hsinchu, Taiwan, 12/12/2016. tnsaa-2016-12-12.pdf
- Talk given at the Workshop and Symposium on “DMRG Technique for Strongly Correlated Systems in Physics and Chemistry”, Natal, Brazil, 26/6/2015. Brazil2015.pdf
## MPS literature that is directly applicable to the Toolkit- https://arxiv.org/abs/1611.02498
- https://arxiv.org/abs/1501.05504
- https://arxiv.org/abs/0804.2509
- https://arxiv.org/abs/1008.4667
- I.P. McCulloch, From density-matrix renormalization group to matrix product states https://arxiv.org/abs/cond-mat/0701428
## DMRG review literature- U. SchollwĂśck,
*The density-matrix renormalization group in the age of matrix product states*, Annals of Physics 326, 96 (2011) http://dx.doi.org/10.1016/j.aop.2010.09.012 - Older review by SchollwĂśck, Rev. Mod. Phys.
**77**, 259 (2005). - The Phd Thesis of Ian McCulloch contains a chapter introducing DMRG, also contains a comprehensive discussion of non-abelian symmetries.
## Tensor network websites- https://www.tensors.net/ By Glen Evenbly
- https://www.tensortrace.com/ Also by Glen Evenbly
- http://tensornetwork.org/ Open source review article on tensor networks, developed by Miles Stoudenmire and others
- https://itensor.org/ iTensor library
- https://uni10.gitlab.io/ Universal Tensor Network Library - Uni10
## Tensor network review literature- R. Orus,
*A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States*, Annals of Physics 349, 117 (2014) doi:10.1016/j.aop.2014.06.013 - http://quamplexity.org/tensor-network-states/
- Jacob Biamonte, Ville Bergholm, Tensor Networks in a Nutshell https://arxiv.org/abs/1708.00006
## General literature for DMRG- The original articles: Phys. Rev. Lett.
**69**, 2863 (1992) and Phys. Rev. B**48**, 10345 (1993). Almost all DMRG papers cite one, usually both, of these articles. As of June 2017, the PRL has over 2,800 citations. - The Ph.D. thesis of Carsten Raas,
*Dynamic Density-Matrix Renormalization for the Symmetric Single Impurity Anderson Model* *Time evolution algorithms for Matrix Product States and DMRG*, by Juan Jose Garcia-Ripoll, cond-mat/0610210- Doctoral diploma dissertation by Thomas Barthel,
*Entanglement entropy in quantum many-particle systems and their simulation via ansatz states*. - Good preprint cond-mat/0703037 from E. Sorensen et al., the introduction contains a nice review of entropy in condensed matter systems, and lots of references.
- Preprint cond-mat/0701428, from I. McCulloch, on the connection between DMRG and MPS
- quant-ph/0703044, Entanglement in Many-Body Systems by Luigi Amico et al.
## Magazine articles, viewpoints etc |

Page last modified on November 08, 2019, at 12:23 AM